anonymous
  • anonymous
examine the following sets are linear independence or dependence: u1=e^ix, u2=e^-ix, u3= sinx.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
u1= e^ix = Cos(x) + i Sin(x) u2= e^-ix= Cos(-x) + i Sin(-x) = Cos(x) - i Sin(x) u3= Sin(x) they are linearly dependent since you are able to write u1 - u2 =2i u3 theorem: a set of vectors is linearly independent if and only if none of the vectors can be written as a linear combination of the others.
anonymous
  • anonymous
thank you

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